What is the Least Common Multiple of 58886 and 58895?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 58886 and 58895 is 3468090970.
LCM(58886,58895) = 3468090970
Least Common Multiple of 58886 and 58895 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58886 and 58895, than apply into the LCM equation.
GCF(58886,58895) = 1
LCM(58886,58895) = ( 58886 × 58895) / 1
LCM(58886,58895) = 3468090970 / 1
LCM(58886,58895) = 3468090970
Least Common Multiple (LCM) of 58886 and 58895 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58886 and 58895. First we will calculate the prime factors of 58886 and 58895.
Prime Factorization of 58886
Prime factors of 58886 are 2, 29443. Prime factorization of 58886 in exponential form is:
58886 = 21 × 294431
Prime Factorization of 58895
Prime factors of 58895 are 5, 11779. Prime factorization of 58895 in exponential form is:
58895 = 51 × 117791
Now multiplying the highest exponent prime factors to calculate the LCM of 58886 and 58895.
LCM(58886,58895) = 21 × 294431 × 51 × 117791
LCM(58886,58895) = 3468090970
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